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Finding the Fourth Proportional to 328.25, 452.81 and 197.22

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Solution

The fourth proportional to 328.25, 452.81 and 197.22 is: 272.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.25 : 452.81 = 197.22 : x
  2. Step 2: Convert to fraction form
    328.25/452.81 = 197.22/x
  3. Step 3: Cross multiply
    328.25x = 452.81 × 197.22
  4. Step 4: Simplify right side
    328.25x = 89,302.20
  5. Step 5: Solve for x
    x = 89,302.20/328.25
  6. Step 6: Final answer
    x = 272.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.